Answer:
There were 15 cats at the shelter on Friday.
Step-by-step explanation:
Cost of caring each cat = $3.00
Cost for caring each dog = $6.50
Total money spent by shelter = $84.00
Total Cats and Dogs in the shelter = 21
Let the number of cats in the shelter = k
So, the number of dogs in shelter = 21 -k
Also according to the question:
Total expenditure on cats + total expenditure on dogs = $84.00
or, k ($3.00) + (21-k)($6.50) = $84.00
or, 3k + 136.5 - 6.5 k = 84
or, -3.5 k = 84 - 136.5 = -52.5
⇒3.5 k = 52.5 or k = 52.5/3.5 = 15
⇒ k = 15
Hence, the number of cats in the shelter was 15 on Friday.